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Biometrika 1995 82(1):220-222; doi:10.1093/biomet/82.1.220
© 1995 by Biometrika Trust
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MISCELLANEA

On an approximate likelihood for quantiles

M. LAVINE

Institute of Statistics and Decision Sciences, Duke University Box 90251, Durham, North Carolina 27708-0251, U.S.A.

Let Z1... Zn be a random sample from F, an uncertain one-dimensional distribution function, and suppose that a prior distribution is available only for {theta}, a vector of quantiles of F. Bayesian inference is difficult because the likelihood function is not fully specified. This paper considers a method of approximating the likelihood function and shows that it provides conservative inferences.

Key Words: Likelihood • Quantile


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